The Effects of Gravity and Material Gradation on the Stability of Axially Functionally Graded Cantilevered Pipes Conveying Fluid

Abstract

This study deals with the dynamic problem of axially functionally graded (AFG) fluid conveying cantilevered pipes (FCCPs) aiming at improving stability of such fluid structure interaction systems. The model presented in the current paper also involves the effects of gravity. All material properties of the pipe assumed to be power-law functions of axial coordinate by incorporating a gradient index parameter. By choosing an appropriate value of gradient index different material distribution profiles such as homogeneous, linear, and nonlinear can be achieved. The model, comprised of equation of motion and boundary conditions, is solved by adopting Galerkin method. The influences of gravity, which is related to the mounting orientation of the pipe, longitudinal phase distribution profile, and flow velocity upon dynamics and stability of AFG-FCCPs are discussed in detail through generated numerical results. A special focus is also devoted to determination of critical flow velocity at which the instability occurs.